Answer:
1/6
1/6
1/36
Events A and B are independent
Step-by-step explanation:
Suppose:
A = event that first die lands on 2
B = event that second die lands on 2
Sample space:
Die 1 = 1,2,3,4,5,6
Die 2 = 1,2,3,4,5,6
Sample space of both die combined is attached below
Probability = (total number of required outcomes / total number of possible outcomes)
Probability that first die lands on 2:
P(A) = 1/6
Probability that second die lands on 2:
P(B) = 1/6
Probability of A and B:
P(A and B) = 1/6 × 1/6 = 1/36
Evebts A and B are independent because, the outcome of one event does not affect the occurrence of the other event.
Answer:
The real number 'a' = 32
The real number 'b' = 0
Step-by-step explanation:
Product of a number of a number and its conjugate = a + bi
The number is = -4 + 4i
Conjugate of this number is = -4 - 4i
Product of the number and it's conjugate
= (-4 + 4i)(-4 - 4i)
= -4(-4 - 4i) + 4i(-4 - 4i) [By distributive property]
= 16 + 16i - 16i - 16i²
= 16 - 16(-1)
= 16 + 16
= 32
a + bi = 32 + (0)i
By comparing both the sides,
a = 32
b = 0
Answer:
(4, -2)
Step-by-step explanation:
Xb = 1 + (1-(-2)) = 1+3 = 4
Yb = 0 + (0-2) = 0-2 = -2
point B (4, -2)
Answer:
12.5%
Step-by-step explanation:
Step1. Determine the points Matthew had during playoff by subtracting points made during regular season from total points in season.
168 points this season
- <u>147 points regular season </u>
21 points scored in playoff
Step 2. Get the percentage, by dividing playoff points over total points in season
21 ÷ 168 = 0.125
Step 3. Multiply it by 100 to get the percentage equivalent from decimal.
0.125 x 100% = 12.5%
Answer:
The given expression consists of 2 factors, and each factor contains 3 terms.
Step-by-step explanation:
Given the expression (a+b+c)(d+e+f)
Factors are parts of expression that are connected by multiplication. we are multiplying (a+b+c) and (d+e+f) so we said (a+b+c) and (d+e+f) are factors of the expression.
Hence, there are 2 factors in given expression.
A mathematical expression contains numbers, variables and operators joined by addition, subtraction, multiplication, and division. The parts of the expression that are connected with addition and subtraction are known as terms.
In each factor (a+b+c) and (d+e+f) three terms are connected by addition. Hence, there are 3 terms in both the factors.
